Reliability stochastic modeling for repairable physical assets

Abstract

The reliability modeling, calculating, and projecting for industrial equipment and systems are today a basic and fundamental task for reliability and maintenance engineers, regardless of the nature or genetics of those industrial assets. In this paper, the stochastic models Perfect Renewal Process (PRP), Nonhomogeneous Processes of Poison (NHPP), and GRP are explained in detail with the corresponding conceptual, mathematical, and stochastic development. For each model, the respective conceptualization and parameterization is analyzed in detail. The practical application is developed for a real case in the mining industry, which shows step by step the appropriate stochastic and mathematical development. Finally, this research becomes an analytical and explanatory procedure on the definition, calculation, methodology, and criteria to be considered for industrial assets parameterization with partial or null post maintenance degradation.